# How do you write inverse variation equations given y= 18 when x=2?

Mar 31, 2018

$y = \frac{36}{x}$

#### Explanation:

$y$ is inversely proportional to $x$

$y \propto \frac{1}{x}$

$\therefore y = \frac{k}{x} \text{ } \leftarrow$ make an equation using $k$

$x y = k \text{ }$ you need to find $k$

$k = 2 \times 18 = 36$

Now finalise the equation in $x \mathmr{and} y$

$y = \frac{36}{x}$